OFDM burst frequency synchronization by single carrier training data

Lambrette, U.; Speth, M.; Meyr, H.

doi:10.1109/4234.559360

Cited by 46 publications

(20 citation statements)

References 8 publications

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“…We define as the power spectrum vector of the desired sequence , i.e., with . By Parseval's Theorem, we have , so the unit Euclideannorm constraint is equivalent to (6) The spectrum-mask constraint is given by (7) Following Corollary 1 and representing the IDFT matrix as , we have , and the two metrics, PSL and WSSL, can be written as (8) (9) To convert the problem of minimizing PSL or WSSL to a convex optimization problem, we express the absolute values of the complex inner-products in (8) and (9) as functions of real variables. Given , we define a 2-by-matrix as (10) where and are -by-1 vectors consisting of the real part and the imaginary part of the vector , so the two elements of correspond to the real part and imaginary part of .…”

Section: A Sufficient Condition To Minimize Psl or Wsslmentioning

confidence: 99%

“…As a result, the PSL/WSSL minimization problem subject to (6) and (7) is formulated as a second-order cone programming (SOCP) problem with the variable , which belongs to the category of convex optimization problems [28]. In general, the AC metric can be formulated as a more sophisticated function of the AC sidelobe levels to serve as a design criterion for a particular estimator.…”

Section: A Sufficient Condition To Minimize Psl or Wsslmentioning

confidence: 99%

“…signals to estimate the channel impulse response [1]- [3], or as training sequences for correlation-based synchronization [4]- [6] and frequency offset estimation [7]. For example, the Zadoff-Chu sequences [8], [9] have been adopted as the preamble sequences in 3GPP long-term evolution (LTE) [10].…”

mentioning

confidence: 99%

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Synthesizing Low Autocorrelation and Low PAPR OFDM Sequences Under Spectral Constraints Through Convex Optimization and GS Algorithm

Tsai

Chung

Shiu

2011

IEEE Trans. Signal Process.

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Abstract-Sequences with low autocorrelation (AC) and low peak to average power ratio (PAPR) are desired in many communication or signal processing applications. This work investigates the synthesis of OFDM sequences with the desired low AC and low PAPR under spectral constraints. The spectral constraints limit the maximum allowable power on each subcarrier to avoid interference on particular reserved bands and undesirable DC-offset. The first part of this work discusses the design of sequences with periodic AC property under spectral constraints. Specifically, we present a convex optimization method for synthesizing OFDM sequences with minimized peak sidelobe level (PSL) or weighted sum of sidelobe levels (WSSL) of the periodic AC function within specified time lags. The design objective to be minimized can also be a certain convex function of the sequence AC sidelobes. Furthermore, we present methods based on Gerchberg-Saxton (GS) algorithm to decrease the PAPR of the sequences, while maintaining the optimized AC characteristic. The second part of this work investigates the aperiodic AC under spectral constraints. In this case, the optimal sequence design problem is nonconvex. By relaxing the nonconvex problem to a convex problem, we provide lower bounds for PSL and WSSL of the aperiodic AC function. Based on the optimal solution for the relaxed convex problem, we present an efficient algorithm to find sequences with low PAPR and near-optimal aperiodic AC property while the spectral constraints are satisfied.

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Section: A Sufficient Condition To Minimize Psl or Wsslmentioning

confidence: 99%

Section: A Sufficient Condition To Minimize Psl or Wsslmentioning

confidence: 99%

See 1 more Smart Citation

Synthesizing Low Autocorrelation and Low PAPR OFDM Sequences Under Spectral Constraints Through Convex Optimization and GS Algorithm

Tsai

Chung

Shiu

2011

IEEE Trans. Signal Process.

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“…Then, the channel estimate based on can be obtained as (27) while based on can be obtained in a similar fashion using composed of . The final channel estimate is taken as the average of and as (28) A similar approach can be applied to 8 and 16 cases, if the length of the repeated part is much larger than the maximum channel delay spread.…”

Section: E Channel Impulse Response Estimationmentioning

confidence: 99%

“…The training symbol can be designed either for an OFDM-type FD training or single-carrier-type TD training [27]. The training symbol of S&C is of the FD-type and gives a timing metric plateau which results in a high timing estimator variance.…”

Section: B Training Symbolmentioning

confidence: 99%

A robust timing and frequency synchronization for OFDM systems

Minn

Bhargava

Letaief³

2003

IEEE Trans. Wireless Commun.

610

349

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Abstract-A robust symbol-timing and carrier-frequency synchronization scheme applicable to orthogonal frequency-division-multiplexing systems is presented. The proposed method is based on a training symbol specifically designed to have a steep rolloff timing metric. The proposed timing metric also provides a robust sync detection capability. Both time domain training and frequency domain (FD) training are investigated. For FD training, maintaining a low peak-to-average power ratio of the training symbol was taken into consideration. The channel estimation scheme based on the designed training symbol was also incorporated in the system in order to give both fine-timing and frequency-offset estimates. For fine frequency estimation, two approaches are presented. The first one is based on the suppression of the interference introduced in the frequency estimation process by the training symbol pattern in the context of multipath dispersive channels. The second one is based on the maximum likelihood principle and does not suffer from any interference. A new performance measure is introduced for timing estimation, which is based on the plot of signal to timing-error-induced average interference power ratio against the timing estimate shift. A simple approach for finding the optimal setting of the timing estimator is presented. Finally, the sync detection, timing estimation, frequency estimation, and bit-error-rate performance of the proposed method are presented in a multipath Rayleigh fading channel.

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Time and frequency synchronisation in tdma‐ofdm based high speed wireless local area networks

Piazzo

Falaschi

Manoarini

et al. 2002

Trans Emerging Tel Tech

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Downlink synchronisation emr estimarors suited for OFDM-TDMA wireless LAN are presented. The focus is on the timing error estimator, which is of the Early-Late type and has a low complexity, making it attractive for high speed systems. It also allows a large sharing o f the computational burden with the fnquency ermr estimator. The estimator is presented and analysed. Simulations art performed to asses the pexfonnance of the synchronisation system over indoor channels.

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OFDM burst frequency synchronization by single carrier training data

Cited by 46 publications

References 8 publications

Synthesizing Low Autocorrelation and Low PAPR OFDM Sequences Under Spectral Constraints Through Convex Optimization and GS Algorithm

Synthesizing Low Autocorrelation and Low PAPR OFDM Sequences Under Spectral Constraints Through Convex Optimization and GS Algorithm

A robust timing and frequency synchronization for OFDM systems

Time and frequency synchronisation in tdma‐ofdm based high speed wireless local area networks

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